참고문헌
- Abumandour, R.M., El-Shorbagy, M.A., Eldesoky, I.M., Kamel, M.H., Alotaibi, H. and Felila, A.L. (2022), "Deflection analysis of a nonlocal euler-bernoulli nanobeam model resting on two elastic foundations: A generalized differential quadrature approach", Symmetry-basel, 14(11), 2342. https://doi.org/10.3390/sym14112342.
- Al-Furjan, M.S.H., Yin, C., Shen, X., Kolahchi, R., Zarei, M.S. and Hajmohammad, M.H. (2022), "Energy absorption and vibration of smart auxetic FG porous curved conical panels resting on the frictional viscoelastic torsional substrate", Mech. Syst. Signal. Pr., 178, 109269. https://doi.org/10.1016/j.ymssp.2022.109269.
- Alazwari, M.A., Daikh, A.A., Houari, M.S., Tounsi, A. and Eltaher, M.A. (2021), "On static buckling of multilayered carbon nanotubes reinforced composite nanobeams supported on non-linear elastic foundations", Steel. Compos. Struct., 40(3), 389-404. https://doi.org/10.12989/scs.2021.40.3.389.
- Amir, M., Kim, S.W. and Talha, M. (2022), "On the stochastic vibration analysis of the geometrically nonlinear graded cellular curved panels with material stochasticity", Int. J. Pres. Ves. Pip., 199, 104768. https://doi.org/10.1016/j.ijpvp.2022.104768.
- Assie, A.E., Mohamed, S.A., Shanab, R.A., Abo-bakr, R.M. and Eltaher, M.A. (2023), "Static buckling of 2D FG porous plates resting on elastic foundation based on unified shear theories", J. Appl. Comput. Mech., 9(1), 239-258. https://doi.org/10.22055/jacm.2022.41265.3723.
- Babaei, H. (2021), "On frequency response of FG-CNT reinforced composite pipes in thermally pre/post buckled configurations", Compos. Struct., 276, 114467. https://doi.org/10.1016/j.compstruct.2021.114467.
- Babaei, H. (2022a), "Nonlinear analysis of size‑dependent frequencies in porous FG curved nanotubes based on nonlocal strain gradient theory", Eng. Struct., 38, 1717-1734. https://doi.org/10.1007/s00366-021-01317-7.
- Babaei, H. (2022b), "Free vibration and snap-through instability of FG-CNTRC shallow arches supported on nonlinear elastic foundation", Appl. Math. Comput., 413, 126606. https://doi.org/10.1016/j.amc.2021.126606.
- Babaei, H. and Eslami, M.R. (2021a), "Nonlinear analysis of thermalmechanical coupling bending of FGP infinite length cylindrical panels based on PNS and NSGT", Appl. Math. Model., 91, 1061-1080. https://doi.org/10.1016/j.apm.2020.10.004
- Babaei, H. and Eslami, M.R. (2021b), "Nonlinear analysis of thermalmechanical coupling bending of clamped FG porous curved microtubes", J. Therm. Stresses, 44(4), 409-432. https://doi.org/10.1080/01495739.2020.1870417.
- Babaei, H., Kiani, Y. and Eslami, M.R. (2018a), "Geometrically nonlinear analysis of functionally graded shallow curved tubes in thermal environment", Thin-Walled Struct., 132, 48-57. https://doi.org/10.1016/j.tws.2018.08.008.
- Babaei, H., Kiani, Y. and Eslami, M.R. (2018b), "Geometrically nonlinear analysis of shear deformable FGM shallow pinned arches on nonlinear elastic foundation under mechanical and thermal loads", Acta. Mech., 229(7), 3123-3141. https://doi.org/10.1007/s00707-018-2134-2.
- Babaei, H., Kiani, Y. and Eslami, M.R. (2018c), "Application of two-steps perturbation technique to geometrically nonlinear analysis of long FGM cylindrical panels on elastic foundation under thermal load", J. Therm, Stress., 41(7), 847-865. https://doi.org/10.1080/01495739.2017.1421054.
- Babaei, H., Kiani, Y. and Eslami, M.R. (2019a), "Thermal buckling and post-buckling analysis of geometrically imperfect FGM clamped tubes on nonlinear elastic foundation", Appl. Math. Model., 71, 12-30. https://doi.org/10.1016/j.apm.2019.02.009.
- Babaei, H., Kiani, Y. and Eslami, M.R. (2019b), "Large amplitude free vibration analysis of shear deformable FGM shallow arches on nonlinear elastic foundation", Thin-Walled Struct., 144, 48-57. https://doi.org/10.1016/j.tws.2019.106237.
- Babaei, H., Kiani, Y. and Eslami, M.R. (2019c), "Large amplitude free vibrations of long FGM cylindrical panels on nonlinear elastic foundation based on physical neutral surface", Compos. Struct., 220, 888-898. https://doi.org/10.1016/j.compstruct.2019.03.064.
- Babaei, H., Kiani, Y. and Eslami, M.R. (2019d), "Buckling and post-buckling analysis of geometrically imperfect FGM pin-ended tubes surrounded by nonlinear elastic medium under compressive and thermal loads", Int. J. Mech. Mater. Des., 15(2), 225-244. https://doi.org/10.1007/s10999-018-9420-y.
- Babaei, H., Kiani, Y. and Eslami, M.R. (2019e), "Thermomechanical nonlinear in-plane analysis of fix-ended FGM shallow arches on nonlinear elastic foundation using two-step perturbation technique", Int. J Struct. Stab. Dynam., 19(8), 1950089. https://doi.org/10.1142/S0219455419500895.
- Basha, M., Daikh, A.A., Melaibari, A., Wagih, A., Othman, R., Almitani, K.H., Hamed, M.A., Abdelrahman, A. and Eltaher, M.A. (2022), "Nonlocal strain gradient theory for buckling and bending of FG-GRNC laminated sandwich plates", Steel. Compos. Struct., 43(5), 639-660. https://doi.org/10.12989/scs.2022.43.5.639.
- Chaabani, H., Mesmoudi, S., Boutahar, L. and El Bikri, K. (2022), "Buckling of porous FG sandwich plates subjected to various nonuniform compressions and resting on Winkler-Pasternak elastic foundation using a finite element model based on the high-order shear deformation theory", Acta. Mech., 233(12), 5359-5376. https://doi.org/10.1007/s00707-022-03388-z.
- Chen, J.S., Wen, Q.W. and Yeh, C. (2022), "Steady state responses of an infinite beam resting on a tensionless visco-elastic foundation under a harmonic moving load", J. Sound. Vib., 540, 17298. https://doi.org/10.1016/j.jsv.2022.117298.
- Chen, R., Wang, W., Wu, K., Zheng, G., Xu, X.J., Wang, H.G. and Luo, J. (2023), "Design and optimization of a novel compliant planar parallelogram mechanism utilizing initially curved beams", Mech. Mach. Theory., 179, 105092. https://doi.org/10.1016/j.mechmachtheory.2022.105092.
- Chen, X., Zhao, J.L., She, G.L., Jing, Y., Luo, J. and Pu, H.Y. (2022a), "On wave propagation of functionally graded CNT strengthened fluid-conveying pipe in thermal environment", Eur. Phys. J. Plus., 137(10), 1158. https://doi.org/10.1140/epjp/s13360-022-03234-0.
- Chen, X., Zhao, J.L., She, G.L., Jing, Y., Pu, H.Y. and Luo, J. (2022b), "Nonlinear free vibration analysis of functionally graded carbon nanotube reinforced fluid-conveying pipe in thermal environment", Steel. Compos. Struct., 45(5), 641-652. https://doi.org/10.12989/scs.2022.45.5.641.
- Chinnapandi, L.B.M., Pitchaimani, J. and Eltaher, M.A. (2022), "Vibro-acoustics of functionally graded porous beams subjected to thermo-mechanical loads", Steel. Compos. Struct., 44(6), 815-829. https://doi.org/10.12989/scs.2022.44.6.815.
- Daikh, A.A., Belarbi, M.O., Ahmed, D., Houari, M.S.A., Avcar, M., Tounsi, A., and Eltaher, M.A. (2022), "Static analysis of functionally graded plate structures resting on variable elastic foundation under various boundary conditions", Acta. Mech., https://doi.org/10.1007/s00707-022-03405-1.
- Deng, L.F., Niu, M.Q., Xue, J. and Chen, L.Q. (2023), "An ALE formulation for the geometric nonlinear dynamic analysis of planar curved beams subjected to moving loads", Mech. Syst. Signal. Pr., 184, 109670. https://doi.org/10.1016/j.ymssp.2022.109670.
- Ding, H.X. and She, G.L. (2021), "A higher-order beam model for the snap-buckling analysis of FG pipes conveying fluid", Struct. Eng. Mech., 80(1), 63-72. https://doi.org/10.12989/sem.2021.80.1.063.
- Ding, H.X., She, G.L. and Zhang, Y.W. (2022a), "Nonlinear buckling and resonances of functionally graded fluid-conveying pipes with initial geometric imperfection", Eur. Phys. J. Plus, 137,1329. https://doi.org/10.1140/epjp/s13360-022-03570-1.
- Ding, H.X., Zhang, Y.W. and She, G.L. (2022b), "On the resonance problems in FG-GPLRC beams with different boundary conditions resting on elastic foundations", Comput. Concrete, 30(6), 433-443. https://doi.org/10.12989/cac.2022.30.6.433.
- Eltaher, M.A., Mohamed, N., Mohamed, S.A. and Seddek, L.F. (2019), "Periodic and nonperiodic modes of postbuckling and nonlinear vibration of beams attached to nonlinear foundations", Appl. Math. Model., 75, 414-445. https://doi.org/10.1016/j.apm.2019.05.026.
- Ermis, M., Kutlu, A., Eratli, N. and Omurtag, M.H. (2022), "Free vibration of axially FG curved beam on orthotropic Pasternak foundation via mixed FEM", J. Braz. Soc. Mech. Sci., 44(12), 597. https://doi.org/10.1007/s40430-022-03853-9.
- Esmaeili, H.R., and Kiani, Y. (2022), "Vibrations of graphene platelet reinforced composite doubly curved shells subjected to thermal shock", Mech. Based. Des. Struct., https://doi.org/10.1080/15397734.2022.2120499.
- Gao, Y., Xiao, W.S. and Zhu, H.P. (2020), "Snap-buckling of functionally graded multilayer graphene platelet-reinforced composite curved nanobeams with geometrical imperfections", Eur. J. Mech. A-Solid., 82, 103993. https://doi.org/10.1016/j.euromechsol.2020.103993.
- Hendi, A., Eltaher, M.A, Mohamed, S.A. and Attia, M. (2022), "Nonlinear thermal vibration of pre/post-buckled two-dimensional FGM tapered microbeams based on a higher order shear deformation theory", Steel Compos. Struct., 41(6), 787-802. http://doi.org/DOI10.12989/scs.2021.41.6.787.
- Homaeinezhad, M.R. and Gavari, M.A. (2022), "Feedback control of actuation-constrained moving structure carrying Timoshenko beam", Int. J. Robust. Nonlin., https://doi.org/10.1002/rnc.6471.
- Hu, S.W., Zhong, R., Wang, Q.S., Qin, B., and Shao, W. (2022), "A strong-form Chebyshev-RPIM meshless solution for free vibration of conical shell panels with variable thickness and fiber curvature", Compos. Struct., 296, 115884. https://doi.org/10.1016/j.compstruct.2022.115884.
- Huang, W.C., Qin, L.H. and Chen, Q. (2022), "Numerical exploration on snap buckling of a pre-stressed hemispherical gridshell", J. Appl. Mech -T. ASME., 89(1), 011005. https://doi.org/10.1115/1.4052289.
- Jiang, Y.L., Sun, H.Y. and Yan, H.J. (2022), "Vibration-impact study on the functionally graded graphene nanoplatelets reinforced composite curved open-type shell", Wave. Random. Complex, https://doi.org/10.1080/17455030.2022.2117875
- Kallannavar, V. and Kattimani, S. (2023), "Effect of temperature and porosity on free vibration characteristics of a doubly-curved skew laminated sandwich composite structures with 3D printed PLA core", Thin. Wall. Struct., 182, 110263. https://doi.org/10.1016/j.tws.2022.110263.
- Li, C., Shen, H.S. and Yang, J. (2022), "Design and nonlinear dynamics of FG curved sandwich beams with self-adapted auxetic 3D double-V meta-lattice core", Eng. Struct., 272, 115023. https://doi.org/10.1016/j.engstruct.2022.115023.
- Lu, L., She, G.L. and Guo, X. (2021), "Size-dependent postbuckling analysis of graphene reinforced composite microtubes with geometrical imperfection", Int. J. Mech. Sci., 199, 106428. https://doi.org/10.1016/j.ijmecsci.2021.
- Malikan, M., Tornabene, F. and Dimitri, R. (2019), "Transient response of oscillated carbon nanotubes with an internal and external damping", Compos. Part B: Eng., 158, 198-205. https://doi.org/10.1016/j.compositesb.2018.09.092.
- Malikan, M., Wiczenbach, T. and Eremeyev, V.A. (2022), "Thermal buckling of functionally graded piezomagnetic micro-and nanobeams presenting the flexomagnetic effect", Continuum Mech. Thermodynam., 34(4), 1051-1066. https://doi.org/10.1007/s00161-021-01038-8.
- Melaibari, A., Mohamed, S.A., Assie, A.E., Shanab, R.A. and Eltaher, M.A. (2023), "Static response of 2D FG porous plates resting on elastic foundation using midplane and neutral surfaces with movable constraints", Mathematics, 10(24), 4784. https://doi.org/10.3390/math10244784.
- Melchiorre, J., Manuello, A., Marmo, F., Adriaenssens, S. and Marano, G.C. (2023), "Differential formulation and numerical solution for elastic arches with variable curvature and tapered crosssections", Eur. J. Mech. A-Solid, 97, 104757. https://doi.org/10.1016/j.euromechsol.2022.104757.
- Mohamed, N., Mohamed, S.A. and Eltaher, M.A. (2021), "Buckling and post-buckling behaviors of higher order carbon nanotubes using energy-equivalent model", Eng. with Comput., 37(4), 2823-2836. http://dx.doi.org/10.1007/s00366-020-00976-2.
- Mohamed, S.A., Mohamed, N. and Eltaher, M.A. (2022), "Snap-through instability of helicoidal composite imperfect beams surrounded by nonlinear elastic foundation", Ocean. Eng., 263, 112171. https://doi.org/10.1016/j.oceaneng.2022.112171.
- Pham, H.A., Tran, H.Q., Tran, M.T., Nguyen, V. and Huong, Q.T. (2022), "Free vibration analysis and optimization of doubly-curved stiffened sandwich shells with functionally graded skins and auxetic honeycomb core layer", Thin. Wall. Struct., 179, 109571. https://doi.org/10.1016/j.tws.2022.109571.
- Pham, Q.H., Tran, V.K. and Nguyen, P.C. (2022), "Hygro-thermal vibration of bidirectional functionally graded porous curved beams on variable elastic foundation using generalized finite element method", Case. Stud. Therm. Eng., 40, 102478. https://doi.org/10.1016/j.csite.2022.102478.
- Pham, Q.H., Tran, V.K., Tran, T.T., Nguyen, P.C. and Malekzadeh, P. (2022), "Dynamic instability of magnetically embedded functionally graded porous nanobeams using the strain gradient theory", Alex. Eng. J., 61(12), 10025-10044. https://doi.org/10.1016/j.aej.2022.03.007.
- Qiao, W.Z., Guo, T.D., Kang, H.J. and Zhao, Y.Y. (2022), "An asymptotic study of nonlinear coupled vibration of arch-foundation structural system", Eur. J. Mech. A-Solid., 96, 104711. https://doi.org/10.1016/j.euromechsol.2022.104711.
- Shahmohammadi, M.A., Mirfatah, S.M., Salehipour, H. and Civalek, O. (2023), "On nonlinear forced vibration of micro scaled panels", Int. J. Eng. Sci., 182, 103774. https://doi.org/10.1016/j.ijengsci.2022.103774.
- She, G.L. (2020), "Wave propagation of FG polymer composite nanoplates reinforced with GNPs", Steel Compos. Struct., 37(1) , 27-35. https://doi.org/10.12989/scs.2020.37.1.027.
- She, G.L. (2021), "Guided wave propagation of porous functionally graded plates: The effect of thermal loadings", J. Therm. Stresses, 44(10), 1289-1305. https://doi.org/10.1080/01495739.2021.1974323.
- She, G.L. and Ding, H.X. (2023), "Nonlinear primary resonance analysis of initially stressed graphene platelet reinforced metal foams doubly curved shells with geometric imperfection", Acta Mech. Sin., 39, 522392. https://doi.org/10.1007/s10409-022-22392-x.
- She, G.L. and Li, Y.P. (2022), "Wave propagation in an FG circular plate in thermal environment", Geomech. Eng., 31(6), 615-622. https://doi.org/10.12989/gae.2022.31.6.615.
- She, G.L., Ding, H.X. and Zhang, Y.W. (2022), "Wave propagation in a FG circular plate via the physical neutral surface concept", Struct. Eng. Mech., 82(2), 225-232. https://doi.org/10.12989/sem.2022.82.2.225.
- She, G.L., Liu, H.B. and Karami, B. (2021), "Resonance analysis of composite curved microbeams reinforced with graphene nanoplatelets", Thin Wall. Struct., 160, 107407. https://doi.org/10.1016/j.tws.2020.107407
- Tornabene, F., Viscoti, M. and Dimitri, R. (2022), "Higher order theories for the free vibration analysis of laminated anisotropic doubly-curved shells of arbitrary geometry with general boundary conditions", Compos. Struct., 297, 115740. https://doi.org/10.1016/j.compstruct.2022.115740.
- Tornabene, F., Viscoti, M. and Dimitri, R. (2023), "Static analysis of anisotropic doubly-curved shell subjected to concentrated loads employing higher order layer-wise theories", Cmes -Comp. Model. Eng., 134(2), 1393-1468. https://doi.org/10.32604/cmes.2022.022237.
- Tung, H.V. (2018), "Nonlinear thermomechanical response of pressure-loaded doubly curved functionally graded material sandwich panels in thermal environments including tangential edge constraints", J. Sandw. Struct. Mater., 20(8), 974-1008. https://doi.org/10.1177/1099636216684312.
- Van Long, N., Thinh, T.I., Bich, D.H. and Tu, T.M. (2022), "Nonlinear dynamic responses of sandwich-FGM doubly curved shallow shells subjected to underwater explosions using first-order shear deformation theory", Ocean. Eng., 260, 111886. https://doi.org/10.1016/j.oceaneng.2022.111886.
- Wang, X.S., Wu, S.B., Yin, J.M., Moradi, Z., Safa, M. and Khadimallah, M.A. (2023), "On the electromechanical energy absorption of the reinforced composites piezoelectric MEMS via Adaptive neuro-fuzzy inference system and MCS theory", Compos. Struct., 303, 116246. https://doi.org/10.1016/j.compstruct.2022.116246.
- Xiong, Z.H., Kou, L., Zhao, J.J., Cui, H. and Wang, B. (2022), "Isogeometric analysis of longitudinal displacement of a simplified tunnel model based on elastic foundation beam", Cmes-Comp. Model. Eng. https://doi.org/10.32604/cmes.2023.024833.
- Xu, J.Q. and She, G.L. (2022), "Thermal post-buckling analysis of porous functionally graded pipes with initial geometric imperfection", Geomech. Eng., 31(3), 329-337. https://doi.org/10.12989/gae.2022.31.3.329.
- Zhai, Y.J., Ma, Z.S., Ding, Q. and Wang, X.P. (2023), "Nonlinear transverse vibrations of a jointed structure with two slightly curved beams connected by complex elastic joints", Int. J. Nonlin. Mech., 148, 104259. https://doi.org/10.1016/j.ijnonlinmec.2022.104259.
- Zhang, Y.W. and She, G.L. (2022), "Wave propagation and vibration of FG pipes conveying hot fluid", Steel. Compos, Struct., 42(3) 397-405. https://doi.org/10.12989/scs.2022.42.3.397.
- Zhang, Y.W. and She, G.L. (2023a), "Nonlinear low-velocity impact response of graphene platelet-reinforced metal foam cylindrical shells under axial motion with geometrical imperfection", Nonlinear Dynam., https://doi.org/10.1007/s11071-022-08186-9.
- Zhang, Y.W. and She, G.L. (2023b), "Nonlinear primary resonance of axially moving functionally graded cylindrical shells in thermal environment", Mech. Adv. Mater. Struct., https://doi.org/10.1080/15376494.2023.2180556.
- Zhang, Y.W., Ding, H.X. and She, G.L. (2022), "Snap-buckling and resonance of functionally graded graphene reinforced composites curved beams resting on elastic foundations in thermal environment", J. Therm. Stresses, 45(12), 1029-1042. https://doi.org/10.1080/01495739.2022.2125137.
- Zhang, Y.W., Ding, H.X. and She, G.L. (2023a), "Wave propagation in spherical and cylindrical panels reinforced with carbon nanotubes", Steel Compos. Struct., 46(1), 133-141. https://doi.org/10.12989/scs.2023.46.1.133.
- Zhang, Y.W., She, G.L. and Ding, H.X. (2023b), "Nonlinear resonance of graphene platelets reinforced metal foams plates under axial motion with geometric imperfections", Eur. J. Mech. A-Solid., 98, 104887. https://doi.org/10.1016/j.euromechsol.2022.104887.
- Zhang, Y.Y., Wang, X.Y., Zhang, X., Shen, H.M. and She, G.L. (2021), "On snap-buckling of FG-CNTRC curved nanobeams considering surface effects", Steel Compos. Struct., 38(3), 293-304. https://doi.org/10.12989/scs.2021.38.3.293.
- Zhao, J.L., Chen, X., She, G.L., Jing, Y., Bai, R.Q., Yi, J., Pu, H.Y. and Luo, J. (2022a), "Vibration characteristics of functionally graded carbon nanotube-reinforced composite double-beams in thermal environments", Steel. Compos. Struct., 43(6), 797-808. https://doi.org/10.12989/scs.2022.43.6.797.
- Zhao, J.L., She, G.L., Wu, F., Yuan, S.J., Bai, R.Q., Pu, H.Y., Wang, S.L. and Luo, J. (2022b), "Guided waves of porous FG nanoplates with four edges clamped", Adv. Nano. Res., 13(5), 465-474. https://10.12989/anr.2022.13.5.465.